The genus of maximal function fields over finite fields (Q1345759)
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scientific article; zbMATH DE number 733203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The genus of maximal function fields over finite fields |
scientific article; zbMATH DE number 733203 |
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The genus of maximal function fields over finite fields (English)
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13 March 1995
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It is proved that if there exists a maximal function field of genus \(g\) over the finite field with \(q^2\) elements, then \(g\leq (q-1)^2/4\) or \(g= qr/2\) with \((q-1)/2\leq r\leq q-1\). The authors conjecture that in the second case \(r= (q-1)\). This conjecture has been proved in the affirmative by Fuhrmann and Torres.
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maximal curves over finite fields
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maximal function field
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